{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,29]],"date-time":"2024-02-29T10:44:02Z","timestamp":1709203442933},"reference-count":20,"publisher":"University of Zielona G\u00f3ra, Poland","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2007,6,1]]},"abstract":"<jats:title>Construction of Sampling and Interpolating Sequences for Multi-Band Signals. The Two-Band Case<\/jats:title><jats:p>Recently several papers have related the production of sampling and interpolating sequences for multi-band signals to the solution of certain kinds of Wiener-Hopf equations. Our approach is based on connections between exponential Riesz bases and the controllability of distributed parameter systems. For the case of two-band signals we derive an operator whose invertibility is equivalent to the existence of a sampling and interpolating sequence, and prove the invertibility of this operator.<\/jats:p>","DOI":"10.2478\/v10006-007-0013-4","type":"journal-article","created":{"date-parts":[[2007,7,25]],"date-time":"2007-07-25T20:06:46Z","timestamp":1185394006000},"page":"143-156","source":"Crossref","is-referenced-by-count":13,"title":["Construction of Sampling and Interpolating Sequences for Multi-Band Signals. The Two-Band Case"],"prefix":"10.61822","volume":"17","author":[{"given":"Sergei","family":"Avdonin","sequence":"first","affiliation":[]},{"given":"Anna","family":"Bulanova","sequence":"additional","affiliation":[]},{"given":"William","family":"Moran","sequence":"additional","affiliation":[]}],"member":"37438","reference":[{"key":"1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-0348-8977-3","volume-title":"Linear Functional Equations. 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